Maths-
General
Easy
Question
If 𝑛 is an even integer, then 𝑚𝑛, where m is any other integer is
a. Odd
b. Even
c. Cannot be determined
Hint:
Every multiple of two is an even integer so we can say that if 2 is multiplied by an odd integer then the result will be an even integer.
The correct answer is: So, If 𝑛 is an even integer and m is any other integer then mn will be an even integer. Hence, option b is correct.
It is given that n is an even integer and we know that every even integer is a multiple of 2. So we can write
n = 2 x (x is an integer)
Now we are given that m is an integer and we are asked to determine whether mn is odd or even. mn can be written as
mn = m 2 x
mn = 2mx
Let’s say mx = y and y is an integer. So
mn = 2y
We can see that y is multiplied by 2 and we know that every multiple of two is an even integer. So, mn will be an even integer.
Final Answer:
So, If 𝑛 is an even integer and m is any other integer then mn will be an even integer. Hence, option b is correct.
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